6818688000 has 352 divisors, whose sum is σ = 25214454720. Its totient is φ = 1817395200.

The previous prime is 6818687933. The next prime is 6818688007. The reversal of 6818688000 is 8868186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6818688007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455014 + ... + 3456986.

Almost surely, 2^6818688000 is an apocalyptic number.

6818688000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6818688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607227360).

6818688000 is an abundant number, since it is smaller than the sum of its proper divisors (18395766720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6818688000 is a wasteful number, since it uses less digits than its factorization.

6818688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 6818688000 is about 82575.3474107133. The cubic root of 6818688000 is about 1896.2704309020.

The spelling of 6818688000 in words is "six billion, eight hundred eighteen million, six hundred eighty-eight thousand".